A Novel Approach for Efficiency Evaluation in Data Envelopment Analysis Framework with Fuzzy Stochastic Variables

Data envelopment analysis (DEA) is a widely used approach for evaluating the relative efficiency of decision-making units (DMUs) in multiple-input and multiple-output situations. Although traditional DEA models use precise input–output data, real-world problems often involve mixed uncertainties, inc...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:International journal of fuzzy systems Jg. 27; H. 3; S. 866 - 881
Hauptverfasser: Huang, Lizhen, Chen, Lei
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Heidelberg Springer Nature B.V 01.04.2025
Schlagworte:
Constraints
Data analysis
Data envelopment analysis
Decision making
Efficiency
Equivalence
Evaluation
Feasibility
Fuzzy sets
Set theory
Variables
ISSN:1562-2479, 2199-3211
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Abstract Data envelopment analysis (DEA) is a widely used approach for evaluating the relative efficiency of decision-making units (DMUs) in multiple-input and multiple-output situations. Although traditional DEA models use precise input–output data, real-world problems often involve mixed uncertainties, including fuzziness and stochasticity. This paper focuses on dealing with situations where inputs and outputs have both fuzzy and stochastic characteristics, using DEA models for efficiency evaluation. Through the integration of the α-level approach and chance-constrained programming, novel DEA models with fuzzy stochastic variables (FSVs) are proposed, and deterministic equivalent interval DEA models with linear constraints are provided to address this problem. The main contributions and advantages of the proposed model over existing DEA models with FSVs are fourfold: (1) linear and always-feasible models are proposed; (2) a fixed and uniform production boundary (i.e., the same set of constraints) is used to measure the efficiency of DMUs with fuzzy stochastic input and output; (3) the obtained results can distinguish between efficient and inefficient DMUs; (4) Equivalent interval DEA models were obtained to provide a more comprehensive assessment of the efficiency of the DMUs. Finally, a numerical example is presented to demonstrate the applicability of the proposed models and the feasibility of the obtained solutions.
AbstractList Data envelopment analysis (DEA) is a widely used approach for evaluating the relative efficiency of decision-making units (DMUs) in multiple-input and multiple-output situations. Although traditional DEA models use precise input–output data, real-world problems often involve mixed uncertainties, including fuzziness and stochasticity. This paper focuses on dealing with situations where inputs and outputs have both fuzzy and stochastic characteristics, using DEA models for efficiency evaluation. Through the integration of the α-level approach and chance-constrained programming, novel DEA models with fuzzy stochastic variables (FSVs) are proposed, and deterministic equivalent interval DEA models with linear constraints are provided to address this problem. The main contributions and advantages of the proposed model over existing DEA models with FSVs are fourfold: (1) linear and always-feasible models are proposed; (2) a fixed and uniform production boundary (i.e., the same set of constraints) is used to measure the efficiency of DMUs with fuzzy stochastic input and output; (3) the obtained results can distinguish between efficient and inefficient DMUs; (4) Equivalent interval DEA models were obtained to provide a more comprehensive assessment of the efficiency of the DMUs. Finally, a numerical example is presented to demonstrate the applicability of the proposed models and the feasibility of the obtained solutions.
Author Huang, Lizhen
Chen, Lei
Author_xml – sequence: 1
  givenname: Lizhen
  orcidid: 0000-0003-1126-4258
  surname: Huang
  fullname: Huang, Lizhen
– sequence: 2
  givenname: Lei
  surname: Chen
  fullname: Chen, Lei
BookMark eNot0E1PAjEQBuDGaCIif8BTE8-rnXa7uz0SBDUhevDj2gylDdVlC-0uBH69q3iayztvZp4rct6ExhJyA-wOGCvvU84qkBnjecagAsj4GRlwUCoTHOCcDEAWPON5qS7JKCW_YAJ4IWQhBmQ7pi9hZ2s63mxiQLOiLkQ6dc4bbxtzoNMd1h22PjTUN_QBW6TTpl8Im7VtWjpusD4kn-gs4truQ_yme9-u6Kw7Hg_0rQ1mhan1hn5i9LiobbomFw7rZEf_c0g-ZtP3yVM2f318noznmeGqarO8KFByh0oyI7lCzKWU4EpUVkrHVcEqxwy6wpglLJVjObdMLaHixtrSGDEkt6fe_q9tZ1Orv0IX-3OTFqCg1yiF6FP8lDIxpBSt05vo1xgPGpj-1dUnXd3r6j9dzcUP2e9wBg
Cites_doi 10.1016/j.fss.2004.12.011
10.1155/2022/3997396
10.1016/j.seps.2022.101462
10.1080/01605682.2023.2267080
10.1007/s10700-021-09364-x
10.1016/0377-2217(79)90229-7
10.1007/978-3-642-41372-8_1
10.1057/palgrave.jors.2601433
10.1016/j.eswa.2013.07.069
10.1007/s10700-022-09403-1
10.1016/j.knosys.2013.05.014
10.1007/s00500-020-05010-7
10.1016/j.cam.2020.113180
10.1051/ro/2018075
10.1007/s40815-022-01258-3
10.1007/s10614-023-10371-w
10.1080/00207727808941724
10.1016/j.eswa.2021.116021
10.1142/s0219622018500396
10.1007/s40815-021-01200-z
10.1016/j.ins.2022.07.140
10.1007/s40815-023-01595-x
10.1007/s00500-023-09254-x
10.1007/s40815-017-0367-1
10.1007/s40815-023-01519-9
10.1016/j.jclepro.2022.130693
10.1016/j.matcom.2009.10.005
10.1051/ro/2023154
10.1007/s00500-021-06627-y
10.1016/j.eswa.2012.04.049
ContentType Journal Article
Copyright Copyright Springer Nature B.V. Apr 2025
Copyright_xml – notice: Copyright Springer Nature B.V. Apr 2025
DBID AAYXX
CITATION
JQ2
DOI 10.1007/s40815-024-01811-2
DatabaseName CrossRef
ProQuest Computer Science Collection
DatabaseTitle CrossRef
ProQuest Computer Science Collection
DatabaseTitleList ProQuest Computer Science Collection
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 2199-3211
EndPage 881
ExternalDocumentID 10_1007_s40815_024_01811_2
GroupedDBID .4S
.DC
0R~
188
203
2UF
4.4
406
5GY
9RA
A8Z
AACDK
AAHNG
AAIAL
AAJBT
AANZL
AARHV
AARTL
AASML
AATNV
AATVU
AAUYE
AAWCG
AAYIU
AAYQN
AAYTO
AAYXX
ABAKF
ABBRH
ABDBE
ABDZT
ABECU
ABFSG
ABFTV
ABJCF
ABJNI
ABJOX
ABKCH
ABMQK
ABQBU
ABRTQ
ABTEG
ABTKH
ABTMW
ABXPI
ACAOD
ACDTI
ACGFS
ACHSB
ACIWK
ACKNC
ACMLO
ACOKC
ACPIV
ACSTC
ACZOJ
ADHHG
ADHIR
ADKFA
ADKNI
ADKPE
ADTPH
ADURQ
ADYFF
ADZKW
AEBTG
AEFQL
AEJHL
AEJRE
AEMSY
AENEX
AEOHA
AEPYU
AEVLU
AEXYK
AEZWR
AFBBN
AFDZB
AFFHD
AFHIU
AFKRA
AFOHR
AFQWF
AFZKB
AGAYW
AGDGC
AGMZJ
AGQEE
AGQMX
AGRTI
AGWZB
AGYKE
AHAVH
AHBYD
AHKAY
AHPBZ
AHSBF
AHWEU
AIAKS
AIGIU
AILAN
AITGF
AIXLP
AJBLW
AJRNO
AJZVZ
ALFXC
ALMA_UNASSIGNED_HOLDINGS
AMKLP
AMXSW
AMYLF
AMYQR
ARAPS
ARCSS
ATFKH
ATHPR
AVXWI
AXYYD
AYFIA
BENPR
BGLVJ
BGNMA
CCPQU
CITATION
CNMHZ
CSCUP
CVCKV
DNIVK
DPUIP
EBLON
EBS
EDO
EIOEI
EJD
ESBYG
ESTFP
FERAY
FIGPU
FINBP
FNLPD
FRRFC
FSGXE
GGCAI
GJIRD
HCIFZ
HG6
HRMNR
I-F
IKXTQ
IWAJR
IXD
J-C
J9A
JBSCW
JZLTJ
K7-
KOV
LLZTM
M4Y
M7S
NPVJJ
NQJWS
NU0
O9J
OK1
P2P
PHGZM
PHGZT
PQGLB
PT4
PTHSS
RLLFE
ROL
RSV
SHX
SISQX
SJYHP
SNE
SNPRN
SNX
SOHCF
SOJ
SPISZ
SRMVM
SSLCW
STPWE
TSG
TUS
TUXDW
UG4
UOJIU
UTJUX
UZ4
UZXMN
VFIZW
ZMTXR
AESKC
JQ2
ID FETCH-LOGICAL-c298t-466a52fa950c529aa45551f7a9e55f29608f0caf6ccd1d9f042e09d182cee7cc3
IEDL.DBID RSV
ISICitedReferencesCount 0
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001309301000004&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 1562-2479
IngestDate Wed Nov 05 08:40:20 EST 2025
Sat Nov 29 08:00:00 EST 2025
IsPeerReviewed true
IsScholarly true
Issue 3
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c298t-466a52fa950c529aa45551f7a9e55f29608f0caf6ccd1d9f042e09d182cee7cc3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0003-1126-4258
PQID 3191479733
PQPubID 2043640
PageCount 16
ParticipantIDs proquest_journals_3191479733
crossref_primary_10_1007_s40815_024_01811_2
PublicationCentury 2000
PublicationDate 2025-04-01
PublicationDateYYYYMMDD 2025-04-01
PublicationDate_xml – month: 04
  year: 2025
  text: 2025-04-01
  day: 01
PublicationDecade 2020
PublicationPlace Heidelberg
PublicationPlace_xml – name: Heidelberg
PublicationTitle International journal of fuzzy systems
PublicationYear 2025
Publisher Springer Nature B.V
Publisher_xml – name: Springer Nature B.V
References A Younesi (1811_CR6) 2023; 22
S-W Lin (1811_CR4) 2023
G Maity (1811_CR12) 2022
1811_CR28
G Jo (1811_CR8) 2024; 63
FH Yin (1811_CR9) 2022; 609
AP Singh (1811_CR26) 2022; 24
A Charnes (1811_CR1) 1978; 2
Z Zmeskal (1811_CR13) 2022; 24
M Arana-Jimenez (1811_CR25) 2022
J Gerami (1811_CR2) 2023
M Sohrabi (1811_CR10) 2023
D Dubois (1811_CR24) 1978; 9
N Zhang (1811_CR7) 2023; 57
Y-M Wang (1811_CR15) 2005; 153
A Ebrahimnejad (1811_CR16) 2019; 18
R Khanjani Shiraz (1811_CR22) 2020; 24
A Ebrahimnejad (1811_CR23) 2019; 53
L Gan (1811_CR11) 2022
AP Singh (1811_CR27) 2022; 26
S Cinaroglu (1811_CR29) 2023
M Tavana (1811_CR19) 2013; 52
H Omrani (1811_CR3) 2022
R Latpate (1811_CR14) 2024; 26
SH Nasseri (1811_CR20) 2018; 20
P Peykani (1811_CR5) 2022; 21
WW Cooper (1811_CR30) 2017; 53
R Qin (1811_CR17) 2010; 80
RK Shiraz (1811_CR21) 2014; 41
M Tavana (1811_CR18) 2012; 39
References_xml – volume: 153
  start-page: 347
  year: 2005
  ident: 1811_CR15
  publication-title: Fuzzy Sets Syst.
  doi: 10.1016/j.fss.2004.12.011
– year: 2022
  ident: 1811_CR12
  publication-title: J. Adv. Transp.
  doi: 10.1155/2022/3997396
– year: 2023
  ident: 1811_CR10
  publication-title: Socioecon. Plann. Sci.
  doi: 10.1016/j.seps.2022.101462
– year: 2023
  ident: 1811_CR4
  publication-title: J. Oper. Res. Soc.
  doi: 10.1080/01605682.2023.2267080
– volume: 21
  start-page: 197
  year: 2022
  ident: 1811_CR5
  publication-title: Fuzzy Optim. Decis. Mak.
  doi: 10.1007/s10700-021-09364-x
– volume: 2
  start-page: 429
  year: 1978
  ident: 1811_CR1
  publication-title: Eur. J. Oper. Res.
  doi: 10.1016/0377-2217(79)90229-7
– ident: 1811_CR28
  doi: 10.1007/978-3-642-41372-8_1
– volume: 53
  start-page: 1347
  year: 2017
  ident: 1811_CR30
  publication-title: J. Oper. Res. Soc.
  doi: 10.1057/palgrave.jors.2601433
– volume: 41
  start-page: 434
  year: 2014
  ident: 1811_CR21
  publication-title: Expert Syst. Appl.
  doi: 10.1016/j.eswa.2013.07.069
– volume: 22
  start-page: 587
  year: 2023
  ident: 1811_CR6
  publication-title: Fuzzy Optim. Decis. Mak.
  doi: 10.1007/s10700-022-09403-1
– volume: 52
  start-page: 32
  year: 2013
  ident: 1811_CR19
  publication-title: Knowl. Based Syst.
  doi: 10.1016/j.knosys.2013.05.014
– volume: 24
  start-page: 17167
  year: 2020
  ident: 1811_CR22
  publication-title: Soft Comput.
  doi: 10.1007/s00500-020-05010-7
– year: 2022
  ident: 1811_CR25
  publication-title: J. Comput. Appl. Math.
  doi: 10.1016/j.cam.2020.113180
– volume: 53
  start-page: 705
  year: 2019
  ident: 1811_CR23
  publication-title: Rairo-Oper. Res.
  doi: 10.1051/ro/2018075
– volume: 24
  start-page: 2215
  year: 2022
  ident: 1811_CR13
  publication-title: Int. J. Fuzzy Syst.
  doi: 10.1007/s40815-022-01258-3
– volume: 63
  start-page: 1493
  year: 2024
  ident: 1811_CR8
  publication-title: Comput. Econ.
  doi: 10.1007/s10614-023-10371-w
– volume: 9
  start-page: 613
  year: 1978
  ident: 1811_CR24
  publication-title: Int. J. Syst. Sci.
  doi: 10.1080/00207727808941724
– year: 2022
  ident: 1811_CR3
  publication-title: Expert Syst. Appl.
  doi: 10.1016/j.eswa.2021.116021
– volume: 18
  start-page: 147
  year: 2019
  ident: 1811_CR16
  publication-title: Int. J. Inf. Technol. Decis. Mak.
  doi: 10.1142/s0219622018500396
– volume: 24
  start-page: 1446
  year: 2022
  ident: 1811_CR26
  publication-title: Int. J. Fuzzy Syst.
  doi: 10.1007/s40815-021-01200-z
– volume: 609
  start-page: 1239
  year: 2022
  ident: 1811_CR9
  publication-title: Inf. Sci.
  doi: 10.1016/j.ins.2022.07.140
– volume: 26
  start-page: 403
  year: 2024
  ident: 1811_CR14
  publication-title: Int. J. Fuzzy Syst.
  doi: 10.1007/s40815-023-01595-x
– year: 2023
  ident: 1811_CR2
  publication-title: Soft Comput.
  doi: 10.1007/s00500-023-09254-x
– volume: 20
  start-page: 534
  year: 2018
  ident: 1811_CR20
  publication-title: Int. J. Fuzzy Syst.
  doi: 10.1007/s40815-017-0367-1
– year: 2023
  ident: 1811_CR29
  publication-title: Int. J. Fuzzy Syst.
  doi: 10.1007/s40815-023-01519-9
– year: 2022
  ident: 1811_CR11
  publication-title: J. Clean. Prod.
  doi: 10.1016/j.jclepro.2022.130693
– volume: 80
  start-page: 922
  year: 2010
  ident: 1811_CR17
  publication-title: Math. Comput. Simul.
  doi: 10.1016/j.matcom.2009.10.005
– volume: 57
  start-page: 3007
  year: 2023
  ident: 1811_CR7
  publication-title: Rairo-Oper. Res.
  doi: 10.1051/ro/2023154
– volume: 26
  start-page: 2901
  year: 2022
  ident: 1811_CR27
  publication-title: Soft Comput.
  doi: 10.1007/s00500-021-06627-y
– volume: 39
  start-page: 12247
  year: 2012
  ident: 1811_CR18
  publication-title: Expert Syst. Appl.
  doi: 10.1016/j.eswa.2012.04.049
SSID ssib031263563
ssib053833614
ssib026410675
ssj0002147029
ssib008679421
Score 2.3385973
Snippet Data envelopment analysis (DEA) is a widely used approach for evaluating the relative efficiency of decision-making units (DMUs) in multiple-input and...
SourceID proquest
crossref
SourceType Aggregation Database
Index Database
StartPage 866
SubjectTerms Constraints
Data analysis
Data envelopment analysis
Decision making
Efficiency
Equivalence
Evaluation
Feasibility
Fuzzy sets
Set theory
Variables
Title A Novel Approach for Efficiency Evaluation in Data Envelopment Analysis Framework with Fuzzy Stochastic Variables
URI https://www.proquest.com/docview/3191479733
Volume 27
WOSCitedRecordID wos001309301000004&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVAVX
  databaseName: SpringerLINK Contemporary 1997-Present
  customDbUrl:
  eissn: 2199-3211
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0002147029
  issn: 1562-2479
  databaseCode: RSV
  dateStart: 20150301
  isFulltext: true
  titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22
  providerName: Springer Nature
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlZ09T8MwEIatCjHAwDeiUJAHNohI_BHHYwWJmCpEoeoWOY4tuqTQpJXor8d2k9BKMHSPouRyvtcX3z0HwC3lClssu6f8XNpjRuFlmSQeylCe5RojpiI3bIINBtF4zF864P7fE_yHkhjVsl3EtloiCgLPBtwgRHZcwetw1DqPJcetNW0aobd0tNZZcWCxK7-sKbPQMa61yYVtO7DHd1PNTEqDPEQYr5ts_n6KTSHbjONOnJLD7V7rCBzUm1DYX3nNMeio4gTsr6EJT8FXHw6mC2UuqqHj0OxuYeyAE7ZbE8YtJhxOCvgkKgHjoi1Agg3sBCZN9Re0v3xhMl8uv-GwmsoPYRHRcGSSddu-VZ6B9yR-e3z26vEMnkQ8qjwShoIiLTj1JUVcCELN9kszwRWlGpnUKNK-FDqUMg9yrk14UD7PTUJjhJlJic_BTjEt1AWASitFiGKUZ4TwjEVc-r4IBDb5oJQUd8FdY-v0c0XhSFvesjNkagyZOkOmqAt6zedI6xVZptiC7BhnGF9udbMrsIfsyF9XrNMDO9Vsrq7BrlxUk3J241zwB6ttzJg
linkProvider Springer Nature
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=A+Novel+Approach+for+Efficiency+Evaluation+in+Data+Envelopment+Analysis+Framework+with+Fuzzy+Stochastic+Variables&rft.jtitle=International+journal+of+fuzzy+systems&rft.date=2025-04-01&rft.pub=Springer+Nature+B.V&rft.issn=1562-2479&rft.eissn=2199-3211&rft.volume=27&rft.issue=3&rft.spage=866&rft.epage=881&rft_id=info:doi/10.1007%2Fs40815-024-01811-2&rft.externalDBID=NO_FULL_TEXT
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1562-2479&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1562-2479&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1562-2479&client=summon